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Existence of mild solutions for the elastic systems with structural damping in Banach spaces. (English) Zbl 1322.74018

Summary: This paper deals with the existence and uniqueness of mild solutions for a second order evolution equation initial value problem in a Banach space, which can model an elastic system with structural damping. The discussion is based on the operator semigroups theory and fixed point theorem. In addition, an example is presented to illustrate our theoretical results.

MSC:

74G25 Global existence of solutions for equilibrium problems in solid mechanics (MSC2010)
34G10 Linear differential equations in abstract spaces
74B05 Classical linear elasticity
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